Home
Class 11
PHYSICS
A rock is launched upward at 45^(@).A be...

A rock is launched upward at `45^(@)`.A bee moves along the trajectory of the rock at a constant speed equal to the initial speed of the rock.The magnitude of acceleration of the bee at the top point of the trajectory is `xg`?For the rock, neglect the air resistance.Find the value of `x`.

Text Solution

Verified by Experts

The correct Answer is:
B
Acceleration of bee `=u^(2)/Rrarr(1)`
At highest position, `R=(u/sqrt2)^(2)/g=u^(2)/(2g)rarr(2)`
From`(1)&(2)`
`a_(bee)=2g :.x=2`
(`u=`projection speed of rock)
Promotional Banner

Topper's Solved these Questions

  • MOTION IN A PLANE

    NARAYNA|Exercise Level-I (H.W)|41 Videos

  • MOTION IN A PLANE

    NARAYNA|Exercise Level-II(H.W)|31 Videos

  • MOTION IN A PLANE

    NARAYNA|Exercise Level-VI Passage answer|18 Videos

  • MECHANICAL PROPERTIES OF SOLIDS

    NARAYNA|Exercise LEVEL-II (H.W)|24 Videos

  • MOTION IN A STRAIGHT LINE

    NARAYNA|Exercise Level 2 H.W|29 Videos

Similar Questions

Explore conceptually related problems

A rock is launched upward at 45^(@) . A bee moves along the trajectory of the rock at a constant speed equal to the initial speed of the rock. What is the magnitude of acceleration (in m//s^(2) ) of the bee at the top point of the trajectory? For the rock, neglect the air resistance.

A rock is launched upward at 45^@ . A bee moves along the trajectory of the rock. What is the magnitude of acceleration ("in" m s^-2) of the bee at the top point of the trajectory ? For the rock, neglect the air resistance.

A stone is launched upward at 45^(@) with speed v_(0) . A bee follow the trajectory of the stone at a constant speed equal to the initial speed of the stone. (a) Find the radius of curvature at the top point of the trajectory. (b) What is the acceleration of the bee at the top point of the trajectory? For the stone, neglect the air resistance.

A particle moves with a costant speed u along the curve y = sin x. The magnitude of its acceleration at the point corresponding to x= pi//2 is

An artificial satellite is moving in a circular orbit around the earth with a speed equal to half the magnitude of escape velocity from the earth. The height of the satellite above the surface of the earth is x R. Find the value of x.

(i) A block is connected to an ideal spring on a horizontal frictionless surface. The block is pulled a short distance and released. Plot the variation of kinetic energy of the block vs the spring potential energy. (ii) A ball of mass 200 g is projected from the top of a building 20 m high. The projection speed is 10 m/s at an angle theta=sin^(-1)(3/5) from the horizontal. Sketch a graph of kinetic energy of the ball against height measured from the ground. Indicate the values of kinetic energy at the top and bottom of the building and at the highest point of the trajectory, specifying the heights on the graph. Neglect air resistance and take g = 10 m//s^(2)

A projectile is thrown from a point on ground with an initial speed u and at anelevatio theta to the horizontal. Find the change in momentum of the particle, when it reaches the top most point of its trajectory.

A large , heavy box is sliding without friction down a smooth plane of inclination theta . From a point P on the bottom of the box , a particle is projected inside the box . The initial speed of the particle with respect to the box is u , and the direction of projection makes an angle alpha with the bottom as shown in Figure . (a) Find the distance along the bottom of the box between the point of projection p and the point Q where the particle lands . ( Assume that the particle does not hit any other surface of the box . Neglect air resistance .) (b) If the horizontal displacement of the particle as seen by an observer on the ground is zero , find the speed of the box with respect to the ground at the instant when particle was projected .